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Tag Archives: hypergraphs
The dual version of Ryser’s conjecture
I talked about our new results related to Ryser’s conjecture in a previous post (also see an even earlier post). The conjecture, and its variants, have some interesting equivalent formulations in terms of edge colourings of graphs. While I was … Continue reading
Generalized polygons in extremal combinatorics
Jacques Tits invented generalized polygons to give a geometrical interpretation of the exceptional groups of Lie type. The prototype of these incidence geometries already appears in his 1956 paper, while they are axiomatically defined in his influential 1959 paper on … Continue reading
Posted in Combinatorics, Extremal Combinatorics, Finite Geometry, Incidence Geometry, Ramsey Theory, Uncategorized
Tagged extremal problems, generalized polygons, generalized quadrangles, Graph Theory, hypergraphs, John Bamberg, ramsey, ramsey numbers, research, Thomas Lesgourgues, turan problems
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Extending Ryser’s conjecture
In an earlier post, I talked about Ryser’s conjecture on partite uniform hypergraphs, that has stayed open for all despite a considerable effort by several mathematicians over a period of 50 years. A bit more effort has been spent on … Continue reading
Posted in Combinatorics, Extremal Combinatorics
Tagged hypergraphs, Patrick Morris, postdoc, research, Ryser, Shagnik Das, Tibor Szabo, vertex cover
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Ryser’s conjecture
I am on a research visit in Rome, working with Valentina Pepe, and our joint paper on Ryser’s conjecture is on arXiv now. So this seems like the right time to talk about the conjecture and the problems related to … Continue reading